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The simplifying assumption is that the instantaneous boundary speed is a linear function of the local receptor density.
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where { Γ m ( k ) } k = 1 N k - 1, with Γ m ( k ) ≤ Γ m ( k + 1 ), are the instantaneous SNR boundaries defining the MCS intervals, which can be obtained from (21) as Γ m ( k ) = 2 T o ϱ m ( k ) − 1 κ 2 ( k ) ln κ 1 ( k ) ε ˇ m. (24).
Instantaneous properties in boundary layer combustion can vary significantly due to three-dimensional effects, and this may have significant implications for describing and modeling boundary layer combustion.
As the velocity is set to the target velocity at the next instant, which is the beginning of the next pulse, the pre-pulse and target velocities represent the instantaneous velocities at the boundaries of a given pulse.
Instantaneous velocity profile of turbulent boundary layer on the corresponding surface is imposed at inflow boundary.
The commonly used IG function relates to the solution of the flux-averaged concentration with an instantaneous injection as the upper-boundary condition and the lower-boundary condition specified in Eq. (11).
Rapid field imaging with frequency tunable pulse burst lasers shows instantaneous flow structure and complex boundary and mixing interactions.
During the initial reaction period (transient state and variable boundary conditions) an instantaneous parabolic rate constant that varies that with time is often used to describe the rate of the reaction.
In calculations of a startup channel flow and zero-pressure gradient and stagnation boundary layers, smooth instantaneous realizations of the velocity field are achieved which closely match exact results.
By dividing the COPMLi distance to the boundary by its instantaneous velocity, the theoretical time it would take COPMLi to reach the medial border of the foot if it continued on the same trajectory without a change in velocity or direction was calculated.[ 15] If the COP data point was moving laterally, the distance of the COP data point to the lateral border of the foot was determined.
From these data it is possible to calculate quasi-instantaneous Reynolds stresses to evaluate boundary layer turbulence, moving beyond time-averaged measures, such as shear velocity (U*).
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